Jump cut editing in the Video Sequence Editor
The Jump to Cut Addon assembles various important tools, which can be found in the Blender Sequencer, but has no premade method to create jump cuts.

The manual way is already rather fast.


 RMB select the movie strip.
Position the cursor at the beginning of the jump cut.
Soft Cut with K.
 RMBSelect the start handle of the 2nd part of the 
strip.
Move it forward a  number of frames. Assuming you want to jump forwards a second in 24 fps the shortcuts would be GX24&#9166; Enter.
Remove the gap. &#10229; Backspace or Strip > Remove Gaps.